## The Jumping Angle Game

Then players take turns drawing cards. The number on the card signifies how many 1/12ths of the board the person moves. So if you draw a 3, you move to the third line away from where you were, leaving one of the twelve markers on the line he or she moved away from. The player gets to choose the direction his or herself and should name the angle formed by the lines he or she is leaving and the one he or she is moving to. In the case of 3, the angle would be 90 or a square angle. Beginners can use the names acute, right, obtuse, straight or reflex. Older players can name the number of degrees.

The goal of the game is to have landed on every line and the twelve colored markers left on the lines keep track of which lines you have yet to visit. Since you never know what number you are going to draw next, the game is based entirely on luck. A variation of the game could probably be played where players hold four card numbers in his or her hands and choose which number to play at which point, thus giving a person more control and requiring more planning. I had allowed the choice of direction because I know my son enjoys games more if he has a choice to make but if you play it where you get to choose which of several cards to play, then you wouldn’t need to have the option of direction. Red suits could signify negative angles and black suits positive angles.

Since the player can choose which direction to move, a card for 3 is equivalent to the card for 9, since moving 90 degrees one direction is the same as moving 270 degrees the other direction. The same is true for most of the other cards. So for most distances there are two cards that could be drawn that would get you there. Only the 30 degree jump and 180 degree jumps are not duplicated. The 180 degree jump can be done only with the six card. The 30 degree jump can be done only with one, since there is no card for 11.

I invented this game for my son because I wanted him to have extra practice and experience with the angles. I think it is a good thing to be able to estimate that 240 degrees is under three quarters of the way around a circle. An extra bonus was that it encouraged my son to practice multiplying by 30 to find which degree jump he could make. He also noticed that whichever line he was on became a line of symmetry and when he was deciding which direction around the circle to go he could count out one distance and look for the mirror image of it.

Another variation of the game that would be really fun would be to make out a really big circle on the floor, have the children be their own game piece with the goal of “planting” beans at each of the lines.

**Astrolabes**

I made a second astrolabe based off of the mariners astrolabe, which we used to measure the angle of different points of the room to the lightbulb, aligning the shadow cast.

VERY cool! I love being curious about learning, but sometimes it’s exhausting! LOVE, love this post and have already added it to my files. Thanks so much for your insights! (PS, Found you through the Gifted Homeschoolers blog hop.)